A High-Order Efficient Optimised Global Hybrid Method for Singular Two-Point Boundary Value Problems
Year: 2021
Author: Higinio Ramos, Gurjinder Singh
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 3 : pp. 515–539
Abstract
An optimised global hybrid block method for second order singular boundary value problems with two boundary conditions is developed. A special attention is paid to the problems having solutions with singularities at the left end of the interval considered. The method is a combination of the optimised hybrid formulas in [43] and a new set of formulas. The ad hoc procedure is used just to pass the singularity and the main formulas are applied to obtain approximations at other discrete points. Numerical experiments show that the method is a good alternative for the problems studied.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.251220.291220
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 3 : pp. 515–539
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: Singular boundary value problem hybrid methods block methods optimisation technique.
Author Details
-
An effective method for solving singular boundary value problems with some relevant physical applications
Tomar, Saurabh | Verma, A. K. | Vajravelu, K.Computational and Applied Mathematics, Vol. 41 (2022), Iss. 1
https://doi.org/10.1007/s40314-021-01715-z [Citations: 6] -
Advanced numerical scheme and its convergence analysis for a class of two-point singular boundary value problems
Sriwastav, Nikhil | Barnwal, Amit K. | Ramos, Higinio | Agarwal, Ravi P. | Singh, MehakpreetMathematics and Computers in Simulation, Vol. 216 (2024), Iss. P.30
https://doi.org/10.1016/j.matcom.2023.08.037 [Citations: 2] -
A High-Resolution Exponential Spline Method and Its Convergence Analysis for Two-Point Mixed Boundary Value Problems
Sharma, Sachin | Kaur, KirandeepInternational Journal of Computational Methods, Vol. 21 (2024), Iss. 06
https://doi.org/10.1142/S0219876224500087 [Citations: 4] -
Numerical integration of third-order singular boundary-value problems of Emden–Fowler type using hybrid block techniques
Rufai, Mufutau Ajani | Ramos, HiginioCommunications in Nonlinear Science and Numerical Simulation, Vol. 105 (2022), Iss. P.106069
https://doi.org/10.1016/j.cnsns.2021.106069 [Citations: 27] -
Numerical Solution for Singular Boundary Value Problems Using a Pair of Hybrid Nyström Techniques
Rufai, Mufutau Ajani | Ramos, HiginioAxioms, Vol. 10 (2021), Iss. 3 P.202
https://doi.org/10.3390/axioms10030202 [Citations: 13] -
An adaptive pair of one-step hybrid block Nyström methods for singular initial-value problems of Lane–Emden–Fowler type
Ramos, Higinio | Rufai, Mufutau AjaniMathematics and Computers in Simulation, Vol. 193 (2022), Iss. P.497
https://doi.org/10.1016/j.matcom.2021.10.023 [Citations: 19]